Spinning Q-balls in Abelian Gauge Theories with positive potentials: existence and non existence

We study the existence of cylindrically symmetric electro-magneto-static solitary waves for a system of a nonlinear Klein-Gordon equation coupled with Maxwell's equations in presence of a positive mass and of a nonnegative nonlinear potential. Nonexistence results are provided as well.Comment: arXiv admin note: text overlap with arXiv:0903.3322 by other author

Carleman estimates, observability inequalities and null controllability for interior degenerate non smooth parabolic equations

We show Carleman estimates, observability inequalities and null controllability results for parabolic equations with non smooth coefficients degenerating at an interior point.Comment: Accepted in Memoirs of the American Mathematical Societ

Bounce on a p-Laplacian

n/